An automobile travels 34.o mpg of gasoline . how many kilometers does it travel per liter of gasoline ? use these equalities : 1 mile=1.61 kilometers ; 1 gallon = 3.79 liters

To solve for x in the equation 6(x – 1) = 9(x + 2), expand and simplify the equation, combine like terms, isolate the variable x, and solve for x by dividing both sides by 3.

To solve for x in the equation 6(x – 1) = 9(x + 2), we can begin by expanding the equation:

6x - 6 = 9x + 18

Next, we can combine like terms by subtracting 6x from both sides:

-6 = 3x + 18

Then, we can isolate the variable x by subtracting 18 from both sides:

-24 = 3x

Finally, we can solve for x by dividing both sides by 3:

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The solutions of the given system of equations: y = x2 – 7x + 16 and y = x - 1 is 4 + i and 4 - i.

A quadratic equation in the variable x is an equation of the form

ax² + bx + c= 0, where a, b, c are real numbers, a * 0.

Given equations are:

y= x²-7x+16 and y=x-1

So, x-1= x²-7x+16

or, x²-8x+17=0

or, x²-8x+17  =0

a=1, b=-8, c=17

Using discriminant method,

x= [tex]-b\pm\sqrt{b^{2}-4ac } /2a[/tex]

x= -(-8) ± [√(-8)²- 4*1*17]/2*1

x=8±√(√64-68)/2

x= 8±√(-4)/2

x= 4 ± i

x= 4 + i and x= 4 - i

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Various factors cause the disappearance of animals in the wild, including habitat destruction, hunting, disease, and changes in predator-prey relationships.

The disappearance of animals in the wild can be caused by various factors, including habitat destruction, hunting, disease, and changes in predator-prey relationships. One of the main factors is habitat destruction, which occurs when natural habitats are altered or destroyed by human activities such as farming, logging, and construction. This leads to a loss of biodiversity as plant and animal populations are destroyed or displaced.

Hunting is another major cause of animal disappearance. Animals are hunted for various purposes including meat, hides, and horns. Large mammals are particularly vulnerable as they are often targeted for their valuable resources. In addition, diseases can spread among animals due to human activities, such as the introduction of domestic animals, leading to population declines and even extinctions.

Changes in predator-prey relationships can also affect animal populations. For example, the decline of predators like cougars, lions, and leopards can result in an increase in the prey population. This can lead to changes in vegetation, stream paths, and overall biodiversity.

Daniel can go on 14 rides at the fair.

To find out the greatest number of rides Daniel can go on, we need to calculate the cost of admission and the cost of the rides. The admission to the fair is $4 and each ride costs $1.50. To determine the number of rides, we subtract the cost of the admission from the total amount Daniel has to spend and then divide that by the cost of each ride. So, Daniel can go on (25 - 4) / 1.50 = 14 rides. Therefore, the greatest number of rides Daniel can go on is 14.

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Answer:

[tex]\frac{16}{25} =0.64[/tex]

Step-by-step explanation:

Given : A spinner used for a game is divided into 4 sections: Yellow, Brown, Red and Orange. The spinner is spun 50 times and lands on brown 18 times

To Find: What is the experimental probability that the spinner does NOT land on brown

Solution :

Since we are given that the spinner is spun 50 times .

Ans the spinner lands on brown 18 times

Probability of landing on brown = [tex]\frac{18}{50} =\frac{9}{25}[/tex]

Since we know that the sum of probabilities is 1

So, probability that the spinner does NOT land on brown is :

⇒ 1 - prob. of landing on brown

⇒[tex]1-\frac{9}{25}[/tex]

⇒[tex]\frac{25-9}{25}[/tex]

⇒[tex]\frac{16}{25}[/tex]

Thus probability that the spinner does NOT land on brown is 16/25=0.64

Answer:

A. 50 − 2.5x = y

 40 − 2x = y

Step-by-step explanation:

We know that x represents the number of trips and y represents the amount remaining in each account, then, let's think in an example; after the first trip x = 1, therefore, Kaisorn's account must decrease from $50 to $50 - $2.5 = $47.5 = y, and Thom's account must decrease from $40 to $40 - $2 = $38 = y. Replacing x = 1 in each case gives:

A

50 − 2.5(1) = y

47.5 = y

   40 − 2(1) = y

   38 = y

B

50 + 2.5(1) = y

52.5 = y

 40 + 2(1) = y

 42 = y

C

50 − 2.5y = (1)

y = (1 - 50)/(-2.5)

y = 19.6

 40 − 2y = (1)

  y = (1 - 40)/(-2)

  y = 19.5

D

50 + 2.5y = (1)

y = (1 -50)/2.5

y = -19.6

 40 + 2y = (1)

 y = (1 - 40)/(2)

 y = -19.5

As it can be seen, option A is the correct one.

Answer:

16.00

Step-by-step explanation:

80% of 20.00 is 16.00

Answer:

the answer is actually 3x - 0.03 = 0.75

Step-by-step explanation:

Answer:

The square root of -64 is 8i

Step-by-step explanation:

Given the number -64

we have to find the square root of the above number i.e [tex]\sqrt{-64}[/tex]

As

[tex]\sqrt{-64}=\sqrt{-8\times 8}[/tex]

[tex]=\sqrt{-(8)^2}[/tex]

[tex]=\sqrt{(-1)(8)^2}[/tex]

[tex]=\sqrt{-1}\sqrt{8^2}=8i[/tex]

Hence, the square root of -64 is 8i

The estimated sum of 521,370 and 26,839, when rounded to the nearest hundred, is 548,200.

To find the estimated sum, you first need to round each number to the nearest hundred before adding them. For the given numbers 521,370 and 26,839, we round them as follows:

521,370 rounds to 521,400 (because the number after the hundreds place, 7, is 5 or greater, so we round up).

26,839 rounds to 26,800 (because the number after the hundreds place, 3, is less than 5, so we round down).

Now we add the rounded numbers:

521,400 + 26,800 = 548,200

So, the estimated sum of 521,370 and 26,839 is 548,200.

The value of the tabular function at x = –15 will be –2. Then the correct option is C.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given in the form of a table.

x        –15              –2              –1               0              13             16          22

y         –2             –15               0               3               5              12          13

The value of y corresponds to x is the value of the function.

The value of the tabular function at x = –15 will be –2. Then the correct option is C.

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Final answer:

To evaluate 10⁻⁷, it is understood as 1 divided by 10 to the seventh power, or 0.0000001. This notation is used in scientific measurements, for instance in expressing the hydronium ion concentration based on pH.

Explanation:

To evaluate 10⁻⁷, we must understand the notation of negative exponents.

10 raised to the power of -7 can be written as 1 divided by 10 raised to the power of 7:

10⁻⁷ = 1 / 10⁷

Since 10 raised to any positive power results in a large number, 10 raised to the power of 7 is a very large number (10,000,000). Dividing 1 by this large number is very close to zero:

1 / 10⁷≈ 0.000 000 1

Therefore, 10⁻⁷ is approximately equal to 0.000 000 1. This value is incredibly small, representing one divided by ten million.

This type of notation is commonly used in scientific measurements, such as expressing the concentration of hydrogen ions in a solution with a certain pH level.

First, let's write 65% as a decimal. We can do this by moving the decimal point 2 places to the left. When we do this, we will get 0.65.

Next, the word of means "multiply" so we have to multiply 0.65 by 40.

(.65) × (40) = 26.00

To calculate 65 percent of 40, convert 65% to a decimal (0.65) and then multiply by 40 to get the answer, which is 26.

To find what 65 percent of 40 is, you can convert the percentage to a decimal and then multiply by the number. To convert a percentage to a decimal, divide it by 100. In this case, 65% becomes 0.65.

Next, multiply 0.65 by 40 to get the answer.

The calculation process looks like this:
0.65 (converted percentage) × 40 (the number) = 26

Therefore, 65 percent of 40 is 26.

(5X-6)(5X+6) THIA IA THE ANSWER TO THE problem

Since f(x) is an even function, the statement which is true is the graph of f(x) has a line of symmetry about the y-axis.

To answer the question, we need to know what an even function is.

An even function is a function f(x) such that f(x) = f(-x). That is f(x) is single valued for both positive and negative values of x.

Now, for an even function, since f(x) = f(-x), both positive and negative values of x give a single value of f(x).

For this to be true, the graph of f(x) is symmetric about the y-axis.

So, since f(x) is an even function, the statement which must be true is graph of f(x) has a line of symmetry about the y-axis.

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